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Finding the Third Proportional to 135,680 and 206,672

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Solution

The third proportional to 135,680 and 206,672 is: 314,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,680 : 206,672 = 206,672 : x
  2. Step 2: Convert to fraction form
    135,680/206,672 = 206,672/x
  3. Step 3: Cross multiply
    135,680x = 206,672 × 206,672
  4. Step 4: Simplify right side
    135,680x = 42,713,315,584
  5. Step 5: Solve for x
    x = 42,713,315,584/135,680
  6. Step 6: Final answer
    x = 314,809.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.